jaersyn

2 years ago

Optimization Problem:
Ronnie is designing a poster to contain 50in^2 of printing with margins of 4 inches each at the top and at the bottom and margins of 2 inches at each side. What overall dimensions will minimize the amount of paper used?

Gr8. To find the value of x to give the minimum value of A we differentiate A with respect to x:
dA/dx = 4 - 400/x^2
Now put the result equal to zero and solve for x:
4 - 400/x^2 = 0
x^2 = -400/-4 = 100
\[x=\sqrt{100}=10\]